Find the temperature distribution u(x, t) in a laterally insulated bar Of 80 cm long ifthe initial temperature is 100 Sin80C and the ends are kept at 0°C. How long willit take for the maximum temperature in the bar to drop 50°C given that p =8.92 gm cm-3,0.95 cal cm-1 sec° C.S = 0.092 calgm-1°C andthermalconductivityk =

Given: L=80 cm T=100 sinπx80∘C T(x=0)=T(x=80 cm) =0°C ρ=8.92 gm/cm2 Cρ=0.092 cal/(gm°C) λ=0.95…

Answered: Find the temperature distribution u(x,…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Find the temperature distribution u(x, t) in a laterally insulated bar Of 80 cm long if
the initial temperature is 100 Sin
80
C and the ends are kept at 0°C. How long will
it take for the maximum temperature in the bar to drop 50°C given that p =
8.92 gm cm-3,
0.95 cal cm-1 sec° C.
S = 0.092 calgm-1°C and
thermal
conductivity
k =

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Hello ! Thank you for your answer.

So i was wondering : does that mean the answer doesnt change depending on the initial condition ? Say if i had 100(sin(3pix/80)) instead of just 100(sin(pix/80)). I can only imagine it's not the same answer because of logic, but i can't figure out what that would change in finding the time for which the max temperature drops to 50.

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